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Finding the Third Proportional to 181,772 and 372,356

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Solution

The third proportional to 181,772 and 372,356 is: 762,763.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,772 : 372,356 = 372,356 : x
  2. Step 2: Convert to fraction form
    181,772/372,356 = 372,356/x
  3. Step 3: Cross multiply
    181,772x = 372,356 × 372,356
  4. Step 4: Simplify right side
    181,772x = 138,648,990,736
  5. Step 5: Solve for x
    x = 138,648,990,736/181,772
  6. Step 6: Final answer
    x = 762,763.19

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.